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Finding the Fourth Proportional to 24,840.71, 34,280.40 and 13,510.30

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Solution

The fourth proportional to 24,840.71, 34,280.40 and 13,510.30 is: 18,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,840.71 : 34,280.40 = 13,510.30 : x
  2. Step 2: Convert to fraction form
    24,840.71/34,280.40 = 13,510.30/x
  3. Step 3: Cross multiply
    24,840.71x = 34,280.40 × 13,510.30
  4. Step 4: Simplify right side
    24,840.71x = 463,138,488.12
  5. Step 5: Solve for x
    x = 463,138,488.12/24,840.71
  6. Step 6: Final answer
    x = 18,644.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.